• 1 Vote(s) - 1 Average
• 1
• 2
• 3
• 4
• 5
 Tetration extension for bases between 1 and eta bo198214 Administrator Posts: 1,386 Threads: 90 Joined: Aug 2007 11/05/2009, 01:44 PM (This post was last modified: 11/05/2009, 01:47 PM by bo198214.) Hey Dan, thank you for this contribution. The formula you mention is the inversion of Lévy's formula (which is generally applicable to functions with f'(p)=1 for a fixed point p of f). See e.g. the tetration methods draft, formula 2.26 (where formula 2.27 is called Lévy's formula). The formula is known to give the regular tetration for $b=e^{1/e}$. However it is new to apply it to $1. So I am really curious about your proof. PS: for writing formulas in this forum please have a look at this post. « Next Oldest | Next Newest »

 Messages In This Thread Tetration extension for bases between 1 and eta - by dantheman163 - 11/05/2009, 03:00 AM RE: Tetration extension for bases between 1 and eta - by bo198214 - 11/05/2009, 01:44 PM RE: Tetration extension for bases between 1 and eta - by dantheman163 - 11/05/2009, 11:53 PM RE: Tetration extension for bases between 1 and eta - by bo198214 - 11/07/2009, 09:31 AM RE: Tetration extension for bases between 1 and eta - by bo198214 - 11/07/2009, 05:11 PM RE: Tetration extension for bases between 1 and eta - by bo198214 - 11/07/2009, 08:12 PM RE: Tetration extension for bases between 1 and eta - by dantheman163 - 11/07/2009, 11:30 PM RE: Tetration extension for bases between 1 and eta - by bo198214 - 11/08/2009, 02:44 PM RE: Tetration extension for bases between 1 and eta - by mike3 - 11/12/2009, 07:11 PM RE: Tetration extension for bases between 1 and eta - by dantheman163 - 12/15/2009, 01:01 AM RE: Tetration extension for bases between 1 and eta - by bo198214 - 12/15/2009, 01:40 AM RE: Tetration extension for bases between 1 and eta - by dantheman163 - 12/15/2009, 01:48 AM RE: Tetration extension for bases between 1 and eta - by dantheman163 - 12/17/2009, 02:40 AM RE: Tetration extension for bases between 1 and eta - by bo198214 - 12/17/2009, 10:59 AM RE: Tetration extension for bases between 1 and eta - by dantheman163 - 12/19/2009, 05:06 AM RE: Tetration extension for bases between 1 and eta - by bo198214 - 12/19/2009, 10:55 AM

 Possibly Related Threads... Thread Author Replies Views Last Post Possible continuous extension of tetration to the reals Dasedes 0 1,160 10/10/2016, 04:57 AM Last Post: Dasedes Andrew Robbins' Tetration Extension bo198214 32 40,004 08/22/2016, 04:19 PM Last Post: Gottfried Why bases 0 2 tommy1729 0 1,607 04/18/2015, 12:24 PM Last Post: tommy1729 on constructing hyper operations for bases > eta JmsNxn 1 2,445 04/08/2015, 09:18 PM Last Post: marraco Non-trivial extension of max(n,1)-1 to the reals and its iteration. MphLee 3 3,546 05/17/2014, 07:10 PM Last Post: MphLee extension of the Ackermann function to operators less than addition JmsNxn 2 3,736 11/06/2011, 08:06 PM Last Post: JmsNxn Alternate solution of tetration for "convergent" bases discovered mike3 12 16,939 09/15/2010, 02:18 AM Last Post: mike3 my accepted bases tommy1729 0 2,046 08/29/2010, 07:38 PM Last Post: tommy1729 [Regular tetration] bases arbitrarily near eta Gottfried 0 2,684 08/22/2010, 09:01 AM Last Post: Gottfried

Users browsing this thread: 1 Guest(s)